Programming Functions
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Questions and Answers

What does the term 'pure' in pure function refer to?

  • The function is used in mathematical operations only
  • The function is fast and efficient
  • The function is simple and easy to understand
  • The function always returns the same result for the same inputs (correct)
  • What is a characteristic of a pure function?

  • It returns a random result
  • It changes the input values
  • It always gives the same result when the same arguments are passed (correct)
  • It can only be used with mathematical functions
  • Which of the following is not a characteristic of a pure function?

  • It can be used with any type of function
  • It always gives the same result for the same inputs
  • It can be used in any programming language
  • It can change the input values (correct)
  • Why are pure functions useful?

    <p>They are predictable and do not have side effects</p> Signup and view all the answers

    What is an example of a pure function?

    <p>The sin function</p> Signup and view all the answers

    What is a benefit of using pure functions?

    <p>They can be composed together easily</p> Signup and view all the answers

    What is a consequence of using pure functions?

    <p>The code becomes more predictable</p> Signup and view all the answers

    What is a requirement for a function to be considered pure?

    <p>It must always return the same result for the same inputs</p> Signup and view all the answers

    What is the main characteristic of a pure function?

    <p>It does not depend on external variables.</p> Signup and view all the answers

    What is the advantage of having a pure function?

    <p>It allows the compiler to optimize the function call.</p> Signup and view all the answers

    What is the definition of an interface in the context of a car?

    <p>The accelerator of the car.</p> Signup and view all the answers

    What happens when the driver presses the accelerator?

    <p>The engine does all the internal work.</p> Signup and view all the answers

    Why is the function 'square' considered a pure function?

    <p>It does not depend on external variables and always gives the same result for the same input.</p> Signup and view all the answers

    What is the main advantage of separating the interface from the implementation?

    <p>It separates the concerns of the driver and the engine.</p> Signup and view all the answers

    What is the role of the accelerator in the car?

    <p>It is the interface between the driver and the engine.</p> Signup and view all the answers

    What is an example of a pure function?

    <p>A function that does not depend on external variables and always gives the same result for the same input.</p> Signup and view all the answers

    What is a key characteristic of a pure function?

    <p>It produces a concrete output</p> Signup and view all the answers

    What is the purpose of function definitions?

    <p>To bind values to names</p> Signup and view all the answers

    What is the main difference between definitions and expressions?

    <p>Definitions are distinct syntactic blocks</p> Signup and view all the answers

    What is a key benefit of using subroutines in programming?

    <p>Reusability of code</p> Signup and view all the answers

    What is the primary criterion for evaluating the performance of an algorithm?

    <p>Computation time</p> Signup and view all the answers

    What is an example of a statement in a programming language?

    <p>A variable declaration</p> Signup and view all the answers

    What is the purpose of parameters in a function definition?

    <p>To pass values to the function</p> Signup and view all the answers

    What is the relationship between definitions and expressions in programming?

    <p>Definitions can have expressions nested inside them</p> Signup and view all the answers

    Study Notes

    Function

    • A function is a block of code that works on many kinds of inputs, like variants, expressions, and produces a concrete output.
    • Functions can be categorized into pure functions and impure functions (with side effects).

    Pure Functions

    • Pure functions are functions that give exact results when the same arguments are passed.
    • They always produce the same output for the same input, making them predictable and reliable.
    • Example: The mathematical function sin(0) always results in 0.
    • Advantages of pure functions include:
      • The compiler only needs to call the function once if it's called several times with the same arguments.

    Function Specification

    • A function specification is a set of code that defines the function's behavior.
    • It includes parameters (variables) and arguments (values passed to the function).
    • Parameters are the variables in a function definition, and arguments are the values passed to the function.

    Interface vs Implementation

    • The interface is the part of a function that the user interacts with, while the implementation is the internal workings of the function.
    • The interface separates the user from the internal implementation, allowing for changes to be made without affecting the user.

    Parameters and Arguments

    • Parameters are the variables in a function definition.
    • Arguments are the values passed to a function when it's called.
    • Example: In the function let square x := return: x * x, x is a parameter, and the value passed to x is an argument.

    Subroutines

    • Subroutines are the basic building blocks of computer programs.
    • They are used to increase the speed of computation by repeating tasks multiple times.

    Time Complexity

    • Time complexity is an important consideration in algorithm design, as it affects the duration of computation time.
    • The duration of computation time should be independent of the programming language, compiler, and computer used.

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    Description

    Learn about functions, a block of code that works on various inputs, and how they can be categorized into pure and impure functions. Understand the characteristics of pure functions and their predictable output.

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